Please use this identifier to cite or link to this item: https://hdl.handle.net/1959.11/28570
Title: The dynamics of a Fisher-KPP nonlocal diffusion model with free boundaries
Contributor(s): Cao, Jia-Feng (author); Du, Yihong  (author)orcid ; Li, Fang (author); Li, Wan-Tong (author)
Publication Date: 2019
DOI: 10.1016/j.jfa.2019.02.013
Handle Link: https://hdl.handle.net/1959.11/28570
Abstract: We introduce and study a class of free boundary models with "nonlocal diffusion", which are natural extensions of the free boundary models in [16]and elsewhere, where “local diffusion” is used to describe the population dispersal, with the free boundary representing the spreading front of the species. We show that this nonlocal problem has a unique solution defined for all time, and then examine its long-time dynamical behavior when the growth function is of Fisher-KPP type. We prove that a spreading-vanishing dichotomy holds, though for the spreading-vanishing criteria significant differences arise from the well known local diffusion model in [16].
Publication Type: Journal Article
Grant Details: ARC/DP190103757
Source of Publication: Journal of Functional Analysis, 277(8), p. 2772-2814
Publisher: Elsevier Inc
Place of Publication: United States of America
ISSN: 1096-0783
0022-1236
Fields of Research (FoR) 2008: 010110 Partial Differential Equations
Fields of Research (FoR) 2020: 490410 Partial differential equations
Socio-Economic Objective (SEO) 2008: 970101 Expanding Knowledge in the Mathematical Sciences
Socio-Economic Objective (SEO) 2020: 280118 Expanding knowledge in the mathematical sciences
Peer Reviewed: Yes
HERDC Category Description: C1 Refereed Article in a Scholarly Journal
Appears in Collections:Journal Article
School of Science and Technology

Files in This Item:
1 files
File SizeFormat 
Show full item record

SCOPUSTM   
Citations

81
checked on Sep 28, 2024

Page view(s)

1,502
checked on Nov 5, 2023

Download(s)

4
checked on Nov 5, 2023
Google Media

Google ScholarTM

Check

Altmetric


Items in Research UNE are protected by copyright, with all rights reserved, unless otherwise indicated.